32. The sonobuoy problem In submarine location problems, it is often necessary to find a submarine's closest point of approach (CPA) to a sonobuoy (sound detector) in the water. Suppose that the submarine travels on the parabolic path y = x² and that the buoy is located at the point (2, –1/2). a. Show that the value of x that minimizes the distance between the submarine and the buoy is a solution of the equation x = 1/( + 1). b. Solve the equation x = 1/(x + 1) with Newton's method. y =x Submarine track in two dimensions CPA Sonobuoy (2, 2.

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